24-28 June 2019
CERN
Europe/Zurich timezone
There is a live webcast for this event.

The Calabi-Yau Hypersurface Landscape

27 Jun 2019, 17:30
15m
503/1-001 - Council Chamber (CERN)

503/1-001 - Council Chamber

CERN

162
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Speaker

Mehmet Demirtas (Cornell University)

Description

I will describe a large scale study of Calabi-Yau hypersurfaces in toric varieties. We construct large ensembles of O(10^7) Calabi Yau hypersurfaces and study key topological properties such as intersection numbers, cones of effective curves and divisors, and fibration structures. I will describe how the properties of a generic hypersurface scale with the Hodge numbers and discuss some of the phenomenological consequences. Finally, I will show that machine learning can be used to classify geometries, predict topological properties given polytope and triangulation data, and construct geometries with extraordinary properties.

Presentation Materials